Free Printable Unit #5 Test Bonus Chapter #4

Worksheets

Unit #5 Test Bonus Chapter #4

Total questions: 45

Worksheet time: 2hrs 11mins

Name

Class

Date

What is the slope-intercept form of a line?

Ax + By = C

y = mx + b

y - y1 = m(x - x1)

y = Ax + By

What is standard form of a line?

y = mx + b

Ax + By = C

y - y1 = m(x - x1)

y = Ax + By

Which equation is written in STANDARD form?

y = 1/2x + 2

y - 3 = -5(x + 2)

-7x + 2y = 9

3x + 2 = y

Name the x- and y-intercepts for the equation:
5x - 3y = 15

(3, 0) and (0, -5)

(0, 3) and (-5, 0)

(5, 15) and (15, 3)

(0, -3) and (5, 0)

Which graph represents 2x + 4y = 12?

Rewrite the equation into Standard form

5x + 8y = 56

-5x + 8y = 56

8x + 5y = 56

5x + y = 7

Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

20x + 15 = y

35x = y

15x + 20y = 150

150 - 20x = 15y

Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20.

y=2.50x+4

2.50x+4y=20

y=4x+2.5

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

4x + 3y = 8.10

4x + 5y = 10.80

4x - 5y = 10.80

4x + 10.80y = 5

10.

Given the point (0,5) and a slope of 7, write an equation in point-slope form

y - 0 = 7(x - 5)

y - 5 = 7(x - 0)

y - 7 = 5(x - 0)

y - 5 = 0(x - 7)

11.

Write the slope intercept form of the equation x - 3y = 6

y = -x - 2

y = x + 2

y = 1/3x - 2

y = -1/3x + 2

12.

What is the equation of this line?

undefined

y = -2

x = -2

13.

Find the slope and y-intercept of:

2x - 3y = -12

slope = 2/3, y-intercept = -12

slope = -2/3, y-intercept = -3

slope = 2/3, y-intercept = 4

slope = -12, y-intercept = -3

14.

Find the slope and y-intercept of the following:

3x - y = 9

Slope = 3, y-intercept = -9

Slope = 9, y-intercept = 3

Slope = 3, y-intercept = 9

Slope = -1, y-intercept = 3

15.

If two lines are parallel their slopes are ____________

the same.

negative reciprocals of each other.

16.

Are these lines parallel?
y = 12x + 4
y = 12x +14

YES

17.

If two lines are perpendicular to each other their slopes are ____________

the same.

negative reciprocals of each other.

18.

Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12

YES

19.

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

y = (-1/3)x - 1

y = (1/3)x - 2

y = -3x + 12

y = 3x - 1

20.

Write an equation of a line that passes through the point (7,10) and is perpendicular to the line y = (1/2)x - 9

y = -2x - 24

y = -2x + 12

y = -2x + 24

y = (1/2)x - 12

21.

Slope = 4 Point (-2, 1)

y = 4x +9

y=4x-7

y=4x+7

y=4x-9

22.

slope 6
point (1,8)

y = 6x + 2

y = 6x - 2

y = -3/8x + 2

y = 3/8x + 2

23.

Goes through points (-2, -1) and (-3, 5)

y = 6x + 13

y = -6x - 13

y = -1/6x + 1

y = 1/6x - 1

24.

Goes through points (5,6) and (2, 15)

y = 3x + 21

y = 3x - 9

y = -3x + 21

y = -3x - 9

25.

Write equation of the line containing (2,6) and (3,1)

y = 5x - 14

y = -5x - 14

y = -5x + 16

y = -5x + 6

26.

Write equation of the line containing (-5,-6) and (2,8)

y = 2x + 4

y = 2x + 14

y = 1/2x + 7

y = 1/2x + 9

27.

What does 'b" represent in y=mx=b

y-intercept

beans

nothing

slope

28.

What is the slope in the equation: y=4x+3

29.

Monica was taking a bus trip to see her aunt. For her to ride 50 miles it cost her $40. For her to ride 250 miles the bus trip would cost her $100. Find the rate of change in dollars per mile. Write an equation in slope-intercept form to model this situation.

y = 3/10x + 40

y = 2.5x + 25

y = 3/10x + 30

y = 3/10x + 25

30.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

slope: 5 y-intercept: (0,3)

slope: 3/2 y-intercept: (0,3)

slope: 4 y-intercept: (0,3/2)

slope: 1/5 y-intercept: (0,5)

31.

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

y = 20 + 30x

y = 30 + 20x

y = 50x

y = 60x

32.

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

33.

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

34.

Write the slope-intercept form of the equation of each line.

35.

Write the slope-intercept form of the equation of each line.

36.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

12 chapters

15 chapters

18 chapters

21 chapters

37.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many pages would be in a book with 19 chapters.

150 pages

170 pages

190 pages

210 pages

38.

Which scatter plot shows a linear relationship between x and y?

Graph A

Graph B

Graph C

Graph D

39.

Students in a group of chess teams submitted data about hours of team practice and the number of matches the team won. The graph shows the results of the data. Based on the linear regression equation y = 3.52 + 3.14x, if a team practices 4.5 hours per week next year, which is the best prediction of the number of chess matches a team could expect to win?

about 24

about 12

about 8

about 18

40.

Based on the graph, if Joe earned $400, how many hours did he work?

25 hours

35 hours

45 hours

15 hours

41.

Which of the following lines represents the line of best fit for the scatter plot?

42.

A fifth grade class conducted a 5-minute experiment that involved heating time and water temperature. The results of the experiment are represented in this line graph. What prediction can be made based on the information gathered?

As the time heated increases, water temperature decreases.

The water temperature decreases as the heating time increases.

A pattern cannot be determined between these measurements.

The water temperature increases as the heating time increases.

43.

This scatterplot could show the relationship between which two variables?

speed of an airplane (x) vs. distance traveled in one hour (y)

outside air temperature (x) vs. air-conditioning costs (y)

age of an adult (x) vs. height of an adult (y)

distance traveled (x) vs. gas remaining in the tank (y)

44.

What is the equation of the line of best fit? (Hint: READ THE UNITS ON THE AXIS)

y = 750x + 9500

y = -750x + 11000

y = 3/4x + 11

y = -3/4x + 11000

45.

What is the equation of the line of best fit?

y = -25x + 170

y = -5/8x + 170

y = 25x + 170

y = 5/8x + 170

100 %

Unit #5 Test Bonus Chapter #4

Total questions: 45

Worksheet time: 2hrs 11mins

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